In this note, the stability of an uncertain system with actuator saturation using super-twisting controller (STC) is analysed. First, a new proof of STC ensuring finite-time stability of the system is proposed using geometric method which gives a new gain conditions. Then, using the proposed proof the domain of attraction (DOA) is explicitly calculated for the system with bounded control. © 2017 Elsevier Ltd

Bijnan Bandyopadhyay

Department of Electrical Engineering

IIT Jodhpur

A.K. Behera

A. Chalanga

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Journal	Automatica
Publisher	Elsevier Ltd
ISSN	00051098